The lattice of subautomata of an automaton: A survey.
The minimal nontrivial endomorphism monoids of congruence lattices of algebras defined on a finite set are described. They correspond (via the Galois connection -) to the maximal nontrivial congruence lattices investigated and characterized by the authors in previous papers. Analogous results are provided for endomorphism monoids of quasiorder lattices .
Let be a connected monounary algebra. The paper deals with retract irreducibility of in the class of all connected monounary algebras and in the class of all monounary algebras.